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Finding the Fourth Proportional to 205,201.55, 283,295.93 and 156,420.51

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Solution

The fourth proportional to 205,201.55, 283,295.93 and 156,420.51 is: 215,950.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,201.55 : 283,295.93 = 156,420.51 : x
  2. Step 2: Convert to fraction form
    205,201.55/283,295.93 = 156,420.51/x
  3. Step 3: Cross multiply
    205,201.55x = 283,295.93 × 156,420.51
  4. Step 4: Simplify right side
    205,201.55x = 44,313,293,069.42
  5. Step 5: Solve for x
    x = 44,313,293,069.42/205,201.55
  6. Step 6: Final answer
    x = 215,950.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.